55652256 has 108 divisors (see below), whose sum is σ = 174065346. Its totient is φ = 16853760.

The previous prime is 55652231. The next prime is 55652287. The reversal of 55652256 is 65225655.

55652256 is a `hidden beast` number, since 556 + 52 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 2944656 = 7260^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55652256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34050 + ... + 35646.

Almost surely, 2^55652256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55652256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87032673).

55652256 is an abundant number, since it is smaller than the sum of its proper divisors (118413090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55652256 is a wasteful number, since it uses less digits than its factorization.

55652256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 55652256 is about 7460.0439676988. The cubic root of 55652256 is about 381.7926746102.

The spelling of 55652256 in words is "fifty-five million, six hundred fifty-two thousand, two hundred fifty-six".